Three perfect gases at absolute temperature $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are $n_1 , n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is
Three perfect gases at absolute temperature $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are $n_1 , n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is
- A
$\frac{{n_2^1T_1^2 \,+ \,n_2^2T_2^2 \,+\, n_3^2T_3^2}}{{{n_1}{T_1}\,+\, {n_2}{T_2} \,+\, {n_3}{T_3}}}$
- B
$\frac{{\left( {{T_1} \,+\, {T_2} \,+\, {T_3}} \right)}}{3}$
- C
$\frac{{{n_1}{T_1} \,+,\ {n_2}T_2 \,+\,{n_3}{T_3}}}{{{n_1} \,+\, {n_2} \,+ \,{n_3}}}$
- D
$\frac{{{n_1}T_1^2\, +\, {n_2}T_2^2 \,+ \,{n_3}T_3^2}}{{{n_1}{T_1} \,+\, {n_2}{T_2}\, +\, {n_3}{T_3}}}$
Similar Questions
A block of ice at $-20\,^oC$ having a mass of $2\,kg$ is added to a $3\,kg$ water at $15\,^oC$. Neglecting heat losses and the heat capacity of the container
A block of ice at $-20\,^oC$ having a mass of $2\,kg$ is added to a $3\,kg$ water at $15\,^oC$. Neglecting heat losses and the heat capacity of the container
A bimetallic strip consists of metals $X$ and $Y.$ It is mounted rigidly at the base as shown in the figure. The metal $X$ has a higher coefficient of expansion as compared to that for metal $Y.$ When the bimetallic strip is placed in a cold bath ?
A bimetallic strip consists of metals $X$ and $Y.$ It is mounted rigidly at the base as shown in the figure. The metal $X$ has a higher coefficient of expansion as compared to that for metal $Y.$ When the bimetallic strip is placed in a cold bath ?
A metal rod of silver at $0°C$ is heated to $100°C$. It's length is increased by $0.19\, cm$. Coefficient of cubical expansion of the silver rod is
A metal rod of silver at $0°C$ is heated to $100°C$. It's length is increased by $0.19\, cm$. Coefficient of cubical expansion of the silver rod is
A clock which keeps correct time at $20\,^oC$ has a pendulum rod made of brass. How many seconds will it gain or lose per day when temperature falls to $0\,^oC$ ? $(\alpha = 18\times10^{-6}/^oC)$
A clock which keeps correct time at $20\,^oC$ has a pendulum rod made of brass. How many seconds will it gain or lose per day when temperature falls to $0\,^oC$ ? $(\alpha = 18\times10^{-6}/^oC)$
A centigrade and a Fahrenheit thermometer are dipped in boiling water. The temperature is lowered until the Fahrenheit thermometer registers $140^o$ . ........ $^oC$ is the fall in temperature as registered by the Centigrade thermometer
A centigrade and a Fahrenheit thermometer are dipped in boiling water. The temperature is lowered until the Fahrenheit thermometer registers $140^o$ . ........ $^oC$ is the fall in temperature as registered by the Centigrade thermometer